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Measurement-device-independent high-dimensional two-way quantum key distribution 与测量设备无关的高维双向量子密钥分配
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-22 DOI: 10.1007/s11128-026-05061-z
Guo-Dong Kang, Xiao-Lu Wu, Ting Zhang, Jie Liu, Mao-Fa Fang

Two-way quantum key distribution (TWQKD) holds great potential for achieving high secure key rates over a certain transmission distance range. However, in practice, flaws in measurement detectors (the primary source of security loopholes) in TWQKD are vulnerable to side-channel attacks, potentially leading to undetectable key leakage. To tackle this problem and enhance the key performance of TWQKD, this paper introduces a measurement-device-independent high-dimensional TWQKD protocol (MDI-HD-TWQKD). The security formula for this protocol is derived, and its key performances are simulated under an imperfect devices model based on current technology. The results indicate that TWQKD can deliver high performance when utilizing high-dimensional sources in the measurement-device-independent scenario.

双向量子密钥分发(TWQKD)在一定传输距离范围内实现高安全密钥速率具有很大的潜力。然而,在实践中,TWQKD中测量检测器(安全漏洞的主要来源)的缺陷容易受到侧信道攻击,可能导致无法检测到的密钥泄露。为了解决这一问题,提高TWQKD的关键性能,本文引入了一种与测量设备无关的高维TWQKD协议(MDI-HD-TWQKD)。推导了该协议的安全公式,并在基于现有技术的不完善设备模型下对其关键性能进行了仿真。结果表明,在与测量设备无关的情况下,TWQKD可以提供高性能的高维源。
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引用次数: 0
Tripartite quantum-memory-assisted entropic uncertainty relations in three-qubit Heisenberg XXZ spin model with DM and KSEA interactions 具有DM和KSEA相互作用的三量子位Heisenberg XXZ自旋模型中的三方量子记忆辅助熵不确定性关系
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-22 DOI: 10.1007/s11128-026-05064-w
Yanliang Zhang, Zhangzhang Wu, Chenyang Shi, Qingping Zhou, Maofa Fang

In this paper, we have investigated the features of tripartite quantum-memory-assisted entropic uncertainty (tQMA-EU) and its two corresponding lower bounds in three-qubit Heisenberg XXZ spin chain model with Dzyaloshinskii–Moriya (DM) interaction and Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interaction. The results show that, when the DM and KSEA interaction are taken account, the Dolatkhah’s lower bound is always equal to the tQMA-EU and remains higher than the Ming’s lower bound in both ferromagnetic and antiferromagnetic cases. The increasing of DM and KSEA interactions can effectively reduce the value of tQMA-EU, the varying behaviors of tQMA-EU with respect to DM and KSEA interactions from positive and negative intervals demonstrate central symmetry. Particularly, in ferromagnetic case, this reduction effect is more pronounced than that in antiferromagnetic case. In addition, the dynamical features of Dolatkhah’s lower bound and Ming’s lower bound with respect to the spin chain systemic parameters display distinct differences in the ferromagnetic and antiferromagnetic cases. Specifically, in the ferromagnetic case and with weak DM interaction, during the lower temperature range, under the influence of the KSEA interaction and under an external magnetic field, the Dolatkhah’s lower bound dosen’t negatively correlated to tripartite negativity quantum correlation (mathcal {N}_{ABC}). in contrast, the dynamics of Ming’s lower bound show negative-correlated to (mathcal {N}_{ABC}).

本文研究了具有Dzyaloshinskii-Moriya (DM)相互作用和kaplanan - shekhtman - entin - wohlman - aharony (KSEA)相互作用的三量子位Heisenberg XXZ自旋链模型的三量子记忆辅助熵不确定性(tQMA-EU)特征及其对应的两个下界。结果表明,当考虑DM和KSEA相互作用时,Dolatkhah的下界始终等于tQMA-EU,并且在铁磁和反铁磁情况下都高于Ming的下界。DM和KSEA相互作用的增加可以有效地降低tQMA-EU的值,tQMA-EU在DM和KSEA相互作用的正、负区间的变化表现出中心对称性。特别是,在铁磁情况下,这种还原效应比在反铁磁情况下更为明显。此外,自旋链系统参数的Dolatkhah下界和Ming下界的动力学特征在铁磁和反铁磁情况下表现出明显的差异。具体而言,在弱DM相互作用的铁磁情况下,在较低温度范围内,在KSEA相互作用的影响下,在外加磁场的作用下,Dolatkhah的下界与三方负量子相关不呈负相关(mathcal {N}_{ABC})。相反,Ming的下界动态与(mathcal {N}_{ABC})呈负相关。
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引用次数: 0
Bayesian and Markovian classical feedforward for discriminating qubit channels 鉴别量子比特信道的贝叶斯和马尔可夫经典前馈
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-20 DOI: 10.1007/s11128-025-05042-8
Milajiguli Rexiti, Stefano Mancini

We address the issue of multi-shot discrimination between two qubit channels by invoking a simple adaptive protocol that employs Helstrom measurement at each step and classical information feedforward, beside separable inputs. We contrast the performance of Bayesian and Markovian strategies. We show that the former is only slightly advantageous and for a limited parameters’ region.

我们通过调用一个简单的自适应协议来解决两个量子位通道之间的多镜头识别问题,该协议在每一步都采用Helstrom测量和经典信息前馈,以及可分离输入。我们比较了贝叶斯策略和马尔可夫策略的性能。我们证明了前者仅在有限的参数区域内具有轻微的优势。
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引用次数: 0
Logarithmic-depth MCT gate implementation method on a given arbitrary number of clean ancillae 对数深度MCT门的实现方法对给定的任意数量的干净的辅助
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-20 DOI: 10.1007/s11128-026-05056-w
Jongheon Lee, Yousung Kang

One of the key operations in various quantum algorithms, including Grover’s algorithm, is the multi-controlled Toffoli (MCT) gate. This work proposes optimal design techniques for the MCT gate using the conditionally clean ancillae strategy, assuming that an arbitrary number of clean ancillae are available. We consider two primary cases: first, when only a single clean ancilla is available; and second, when the number of clean ancillae is (mathcal {O}(n)), where n is the number of controls in the MCT gate. For the case of a single clean ancilla, we propose a novel design method that achieves better efficiency compared to a previous approach. While prior work yields a Toffoli-depth of (mathcal {O}(n)), our proposed method reduces the Toffoli-depth to (mathcal {O}(sqrt{n})). Moreover, by employing this new technique as a subroutine within previously proposed methods for the cases of two or three clean ancillae, we demonstrate both logically and empirically an improvement in time complexity. Additionally, prior work addressed optimal designs only when the number of clean ancillae was up to approximately (log n), without providing efficient strategies beyond this regime. In this study, we also present efficient MCT gate constructions when a sufficiently large number of clean ancillae are available. We confirm, both theoretically and empirically, that the Toffoli-depth decreases as the number of clean ancillae increases. In conclusion, this work highlights that the optimal MCT design strategy depends on the availability of clean ancillae. It also indirectly suggests a threshold point at which the optimal design strategy transitions, depending on the number of ancillae provided.

包括Grover算法在内的各种量子算法的关键操作之一是多控制Toffoli (MCT)门。本工作提出了使用条件清洁辅助策略的MCT栅极的优化设计技术,假设有任意数量的清洁辅助可用。我们考虑两种主要情况:第一,当只有一个干净的辅助器具可用时;第二,当清洁辅助装置的数量为(mathcal {O}(n))时,其中n为MCT栅极中的控制装置数量。对于单个清洁辅助装置的情况,我们提出了一种新的设计方法,与以前的方法相比,它可以达到更高的效率。虽然之前的工作得出Toffoli-depth为(mathcal {O}(n)),但我们提出的方法将Toffoli-depth降低到(mathcal {O}(sqrt{n}))。此外,通过将这种新技术作为先前提出的方法中的子程序用于两个或三个干净的辅助装置的情况,我们在逻辑上和经验上都证明了时间复杂性的改进。此外,先前的工作只解决了当清洁辅助装置的数量达到大约(log n)时的最佳设计,而没有提供超出此范围的有效策略。在这项研究中,我们还提出了当有足够多的清洁辅助元件可用时,有效的MCT门结构。我们从理论上和经验上证实,Toffoli-depth随着清洁的辅助器具数量的增加而减小。总之,这项工作强调了最佳的MCT设计策略取决于清洁辅助装置的可用性。它还间接地提出了一个阈值点,在这个阈值点上,最优设计策略的转变取决于所提供的辅助装置的数量。
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引用次数: 0
Decomposition of sparse amplitude permutation gates with application to preparation of sparse clustered quantum states 稀疏振幅排列门的分解及其在稀疏聚类量子态制备中的应用
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-20 DOI: 10.1007/s11128-026-05050-2
Igor Gaidai, Rebekah Herrman

In this work, we consider a novel heuristic decomposition algorithm for n-qubit gates that implement specified amplitude permutations on sparse states with m non-zero amplitudes. These gates can be useful as an algorithmic primitive for higher-order algorithms. We demonstrate this by showing how it can be used as a building block for a novel sparse state preparation algorithm, Cluster Swaps, which is able to significantly reduce CX gate count compared to alternative methods of state preparation considered in this paper when the target states are clustered, i.e., such that there are many pairs of non-zero amplitude basis states whose Hamming distance is 1. Cluster Swaps can be useful for amplitude encoding of sparse data vectors in quantum machine learning applications.

在这项工作中,我们考虑了一种新的n-量子比特门的启发式分解算法,该算法在具有m个非零振幅的稀疏状态上实现指定振幅排列。这些门可以作为高阶算法的算法原语。我们通过展示如何将其用作新型稀疏状态准备算法Cluster Swaps的构建块来证明这一点,当目标状态被聚类时,与本文考虑的其他状态准备方法相比,该算法能够显著减少CX门计数,即存在许多对非零振幅基状态,其汉明距离为1。在量子机器学习应用中,簇交换可以用于稀疏数据向量的幅度编码。
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引用次数: 0
Dynamics of quantum commons games with bounded rationality 有限理性下的量子公地博弈动力学
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-19 DOI: 10.1007/s11128-026-05051-1
Kai Gu, Xingjing Zhang, Nengfa Wang, Zixin Liu

This paper constructs a quantum commons game model based on the homogeneous rational expectation theory and the Li–Du–Massar (LDM) quantization scheme and conducts a comparative analysis of its differences from the classical commons problem. Studies have found that within a specific range, the enhancement of quantum entanglement can expand the stable region of the system, increase the threshold of system bifurcation, and play a regulatory role in the complex dynamic behaviors of the model. When the farmers’ adjustment speed exceeds the critical threshold, the system will exhibit chaotic behavior accompanied by a bifurcation phenomenon. By introducing the delayed feedback control method, the chaotic behavior of the complex dynamic system can be redirected and stabilized at the quantum Nash equilibrium point. In addition, through numerical simulations, the correctness and effectiveness of the theoretical model are verified from the perspectives of the bifurcation diagram, the maximum Lyapunov exponent, and the strange attractor.

本文基于齐次理性期望理论和LDM (Li-Du-Massar)量化方案构建了一个量子公地博弈模型,并对其与经典公地问题的区别进行了比较分析。研究发现,在特定范围内,量子纠缠的增强可以扩大系统的稳定区域,提高系统分岔阈值,并对模型的复杂动态行为起到调节作用。当农户的调节速度超过临界阈值时,系统将出现混沌行为并伴有分岔现象。通过引入延迟反馈控制方法,可以将复杂动态系统的混沌行为重定向并稳定在量子纳什平衡点上。此外,通过数值模拟,从分岔图、最大Lyapunov指数和奇异吸引子的角度验证了理论模型的正确性和有效性。
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引用次数: 0
A multi-party quantum secret sharing protocol based on single photons 基于单光子的多方量子秘密共享协议
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-16 DOI: 10.1007/s11128-025-05045-5
Yuan Tian, Jialong Wang, Ying Tang, Jian Li

Quantum secret sharing (QSS) is essential for secure multi-party information distribution. However, existing multi-party quantum secret sharing (MQSS) protocols suffer from several limitations, such as requiring the distributor to know each participant’s secret in advance, low efficiency, challenging quantum resource preparation, and complex operations. This paper proposes an efficient MQSS protocol based on single photons. The protocol utilizes single photons and simple local unitary operations for secret distribution. Participants are not required to perform measurements, which reduces the difficulty of resource preparation and improves operability. By incorporating decoy particles, the protocol can ideally achieve 100% efficiency. Security analysis demonstrates its robustness against common attacks. Compared with existing protocols, the proposed scheme excels in terms of quantum resource requirements, the distributor’s prior knowledge of secrets, and qubit efficiency. Simulations on the IBM quantum platform confirm its feasibility.

量子秘密共享(QSS)是实现多方信息安全分发的关键技术。然而,现有的多方量子秘密共享(MQSS)协议存在要求分发方提前知道每个参与者的秘密、效率低、量子资源准备困难以及操作复杂等局限性。提出了一种基于单光子的高效MQSS协议。该协议利用单光子和简单的局部酉运算进行秘密分发。参与者不需要进行测量,降低了资源准备的难度,提高了可操作性。通过加入诱饵粒子,该协议可以理想地达到100%的效率。安全分析证明了它对常见攻击的鲁棒性。与现有协议相比,该方案在量子资源需求、分发者对秘密的先验知识和量子比特效率方面具有优势。在IBM量子平台上的仿真验证了其可行性。
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引用次数: 0
The quantum Rock-Paper-Scissors-Lizard-Spock Show 量子石头-剪刀-布-蜥蜴-史波克秀
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-16 DOI: 10.1007/s11128-026-05052-0
Bharath Manchikodi, Nishita Manohar Hosea, P. C. Deshmukh

The classical games of Rock-Paper-Scissors (RPS) and its extended variant, Rock-Paper-Scissors-Lizard-Spock (RPSLS), exemplify non-transitive logic and mixed-strategy Nash equilibria in game theory. This work presents a novel quantum implementation of these games using Grover’s search algorithm, demonstrating how quantum superposition and entanglement can transform classical gameplay. We develop a quantum circuit architecture that efficiently identifies winning strategies, with the RPSLS variant highlighting the scalability of our approach to larger strategy spaces. Furthermore, we introduce a novel quantum bit commitment protocol based on non-orthogonal RPSLS states, which serves as a pedagogical model for understanding security trade-offs in quantum cryptography. Our framework reveals deep parallels between the cyclic dominance of game strategies and quantum nonlocality through Hardy’s paradox, while offering practical applications in quantum optimization and secure communication. The proposed implementation is experimentally feasible on near-term quantum devices and provides an accessible platform for illustrating quantum algorithmic advantages in strategic decision-making.

经典的石头-剪子-布游戏(RPS)及其扩展变体石头-剪刀-布-蜥蜴-斯波克(RPSLS)是博弈论中非传递逻辑和混合策略纳什均衡的典型例子。这项工作使用Grover搜索算法展示了这些游戏的新颖量子实现,展示了量子叠加和纠缠如何改变经典游戏玩法。我们开发了一种量子电路架构,可以有效地识别制胜策略,RPSLS变体突出了我们的方法在更大策略空间中的可扩展性。此外,我们还引入了一种基于非正交RPSLS状态的新型量子比特承诺协议,作为理解量子密码学中安全权衡的教学模型。我们的框架通过哈代悖论揭示了博弈策略的循环优势和量子非定域性之间的深刻相似之处,同时为量子优化和安全通信提供了实际应用。提出的实现在近期量子器件上实验可行,并为说明量子算法在战略决策中的优势提供了一个可访问的平台。
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引用次数: 0
Q-PnV: a quantum consensus mechanism for security consortium blockchains Q-PnV:安全联盟区块链的量子共识机制
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-16 DOI: 10.1007/s11128-026-05053-z
Jianming Lin, Hui Li, Hongjian Xing, Runhuai Huang, Wenhui Hu, Shaowen Deng, Zhiqiang Hu, Bing Lin, Ping Lu, Xiyu Wang, Xiongyan Tang

With the rapid advancement of quantum computing, the security of classical blockchain systems is facing severe challenges. The emergence of quantum blockchain offers a promising solution to fundamentally address these issues. Consortium blockchains, due to their inherent characteristics, are particularly well-suited for the deployment and implementation of quantum blockchains at the current stage. This paper proposes a novel quantum consensus mechanism named Q-PnV (Quantum Proof and Voting), tailored for consortium blockchains. The consensus extends the classical Proof of Vote (PoV) consensus mechanism into the quantum domain and innovatively integrates quantum voting, quantum identity authentication, and quantum random number generation technologies. By combining Q-PnV with a quantum blockchain architecture based on weighted hypergraph states, this work presents a comprehensive quantum blockchain solution for consortium scenarios. Theoretical analysis demonstrates that, compared to classical approaches, a quantum blockchain based on Q-PnV not only effectively resists quantum attacks, but also significantly enhances the security and fairness of the consensus process, thereby providing a reliable foundation for consortium blockchain applications in a future quantum computing environment.

随着量子计算的飞速发展,经典区块链系统的安全性面临着严峻的挑战。量子区块链的出现为从根本上解决这些问题提供了一个有希望的解决方案。联盟区块链由于其固有的特性,特别适合现阶段量子区块链的部署和实施。本文提出了一种新的量子共识机制,名为Q-PnV(量子证明和投票),为联盟区块链量身定制。该共识将经典的投票证明(PoV)共识机制扩展到量子领域,创新地集成了量子投票、量子身份认证和量子随机数生成技术。通过将Q-PnV与基于加权超图状态的量子区块链体系结构相结合,本研究为联盟场景提供了一个全面的量子区块链解决方案。理论分析表明,与经典方法相比,基于Q-PnV的量子区块链不仅有效地抵抗了量子攻击,而且显著提高了共识过程的安全性和公平性,从而为未来量子计算环境下的联盟区块链应用提供了可靠的基础。
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引用次数: 0
Quantum state preparation control in noisy environment via most-likely paths 基于最可能路径的噪声环境下量子态制备控制
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-14 DOI: 10.1007/s11128-025-05034-8
Wirawat Kokaew, Thiparat Chotibut, Areeya Chantasri

Finding controls for open quantum systems needs to take into account effects from unwanted environmental noise. Since actual realisations or states of the noise are typically unknown, the usual treatment for the quantum system’s decoherence dynamics is via the so-called Lindblad master equation, which in essence describes an average evolution (mean path) of the system’s state affected by the unknown noise. We here consider an alternative view of a noise-affected open quantum system, where the average dynamics can be unravelled into hypothetical noisy quantum trajectories, and propose a control strategy for the state preparation problem based on the likelihood of noise occurrence. We formulate a stochastic path integral for noise variables whose extremum yields control functions associated with a most-likely noise to achieve target states. As a proof of concept, we apply our method to a qubit state preparation under dephasing noise and analytically solve for controlled Rabi drives for arbitrary target states. Since the method is constructed based on the probability of noise, we also introduce a fidelity success rate as a measure of the state preparation. We benchmark against the mean-path approaches, e.g., GRAPE and CRAB controls, using both average fidelity and a success rate metric. While standard mean-path controls maximise average fidelity, most-likely controls achieve higher success rates, especially at strong dephasing.

寻找开放量子系统的控制需要考虑有害环境噪声的影响。由于噪声的实际实现或状态通常是未知的,对于量子系统的退相干动力学的通常处理是通过所谓的Lindblad主方程,其本质上描述了受未知噪声影响的系统状态的平均演化(平均路径)。本文考虑了噪声影响开放量子系统的另一种观点,其中平均动力学可以分解为假设的噪声量子轨迹,并提出了一种基于噪声发生可能性的状态准备问题的控制策略。我们为噪声变量制定了一个随机路径积分,其极值产生与最可能达到目标状态的噪声相关的控制函数。作为概念证明,我们将该方法应用于在失相噪声下的量子比特状态制备,并解析求解任意目标状态的受控Rabi驱动器。由于该方法是基于噪声概率构建的,因此我们还引入了保真成功率作为状态准备的度量。我们对平均路径方法进行基准测试,例如,GRAPE和CRAB控制,使用平均保真度和成功率度量。虽然标准平均路径控制能最大限度地提高平均保真度,但最可能控制能获得更高的成功率,尤其是在强减相时。
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引用次数: 0
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Quantum Information Processing
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